Question

Giải hộ mình câu này với

a) (0,25)⁴ . 1024

b) \(\frac{230^3}{23^3}\)

c) \(\frac{\left(-7\right)^n}{\left(-7\right)^{n-1}}\left(n\ge1\right)\)

Answer 1

a) Ta có: \(\left(0.25\right)^4\cdot1024\)

\(=\left(0.25\right)^4\cdot4^4\cdot4\)

\(=\left(0.25\cdot4\right)^2\cdot4\)

\(=1^2\cdot4=4\)

b) Ta có: \(\frac{230^3}{23^3}\)

\(=\left(\frac{230}{23}\right)^3\)

\(=10^3=1000\)

c) Ta có: \(\frac{\left(-7\right)^n}{\left(-7\right)^{n-1}}\)

\(=\left(-7\right)^n:\left[\frac{\left(-7\right)^n}{-7}\right]\)

\(=\left(-7\right)^n\cdot\frac{-7}{\left(-7\right)^n}\)

\(=-7\)